Search a number
-
+
820512426460 = 2251091656122727
BaseRepresentation
bin10111111000010100101…
…10100000100111011100
32220102212220212222012011
423330022112200213130
5101420402140121320
61424534352521004
7113165030356426
oct13741226404734
92812786788164
10820512426460
11296a82968361
1211302bb50164
135c4b286a51c
142b9da719816
151652402d05a
hexbf0a5a09dc

820512426460 has 48 divisors (see below), whose sum is σ = 1739065648320. Its totient is φ = 325159971840.

The previous prime is 820512426451. The next prime is 820512426473. The reversal of 820512426460 is 64624215028.

820512426460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36091617 + ... + 36114343.

It is an arithmetic number, because the mean of its divisors is an integer number (36230534340).

Almost surely, 2820512426460 is an apocalyptic number.

It is an amenable number.

820512426460 is an abundant number, since it is smaller than the sum of its proper divisors (918553221860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820512426460 is a wasteful number, since it uses less digits than its factorization.

820512426460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39406 (or 39404 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 820512426460 in words is "eight hundred twenty billion, five hundred twelve million, four hundred twenty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 16561 22727 33122 45454 66244 82805 90908 113635 165610 227270 331220 454540 1805149 2477243 3610298 4954486 7220596 9025745 9908972 12386215 18051490 24772430 36102980 49544860 376381847 752763694 1505527388 1881909235 3763818470 7527636940 41025621323 82051242646 164102485292 205128106615 410256213230 820512426460